Average Error: 4.9 → 0.1
Time: 12.5s
Precision: 64
\[\frac{x}{y \cdot y} - 3.0\]
↓
\[\frac{\frac{x}{y}}{y} - 3.0\]
\frac{x}{y \cdot y} - 3.0
↓
\frac{\frac{x}{y}}{y} - 3.0
double f(double x, double y) {
        double r13712075 = x;
        double r13712076 = y;
        double r13712077 = r13712076 * r13712076;
        double r13712078 = r13712075 / r13712077;
        double r13712079 = 3.0;
        double r13712080 = r13712078 - r13712079;
        return r13712080;
}
↓
double f(double x, double y) {
        double r13712081 = x;
        double r13712082 = y;
        double r13712083 = r13712081 / r13712082;
        double r13712084 = r13712083 / r13712082;
        double r13712085 = 3.0;
        double r13712086 = r13712084 - r13712085;
        return r13712086;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original4.9
Target0.1
Herbie0.1
\[\frac{\frac{x}{y}}{y} - 3.0\]

Derivation

  1. Initial program 4.9

    \[\frac{x}{y \cdot y} - 3.0\]
  2. Using strategy rm

  3. Applied associate-/r*0.1

    \[\leadsto \color{blue}{\frac{\frac{x}{y}}{y}} - 3.0\]

  4. Final simplification0.1

    \[\leadsto \frac{\frac{x}{y}}{y} - 3.0\]

Reproduce

herbie shell --seed 2019164 +o rules:numerics
(FPCore (x y)
  :name "Statistics.Sample:$skurtosis from math-functions-0.1.5.2"

  :herbie-target
  (- (/ (/ x y) y) 3.0)

  (- (/ x (* y y)) 3.0))